# Question: 40 is 60 percent of what number?

## Step by step solution for calculating 40 is 60 percent of what number

We already have our first value 40 and the second value 60. Let's assume the unknown value is Y which answer we will find out.

As we have all the required values we need, Now we can put them in a simple mathematical formula as below:

STEP 1 40 = 60% × Y

STEP 2 40 = 60/100× Y

Multiplying both sides by 100 and dividing both sides of the equation by 60 we will arrive at:

STEP 3 Y = 40 × 100/60

STEP 4 Y = 40 × 100 ÷ 60

STEP 5 Y = 66.667

Finally, we have found the value of Y which is 66.667 and that is our answer. You can easily calculate 40 is 60 percent of what number by using any regular calculator, simply enter 40 × 100 ÷ 60 and you will get your answer which is 66.667 Here is a Percentage Calculator to solve similar calculations such as 40 is 60 percent of what number. You can solve this type of calculation with your values by entering them into the calculator's fields, and click 'Calculate' to get the result and explanation.

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## Sample questions, answers, and how to

Question: Your friend has a bag of marbles, and he tells you that 60 percent of the marbles are red. If there are 40 red marbles. How many marbles does he have altogether?

How To: In this problem, we know that the Percent is 60, and we are also told that the Part of the marbles is red, so we know that the Part is 40.

So, that means that it must be the Total that's missing. Here is the way to figure out what the Total is:

Part/Total = Percent/100

By using a simple algebra we can re-arrange our Percent equation like this:

Part × 100/Percent = Total

If we take the "Part" and multiply it by 100, and then we divide that by the "Percent", we will get the "Total".

Let's try it out on our problem about the marbles, that's very simple and it's just two steps! We know that the "Part" (red marbles) is 40.

So step one is to just multiply that Part by 100.

40 × 100 = 4000

In step two, we take that 4000 and divide it by the "Percent", which we are told is 60.

So, 4000 divided by 60 = 66.667

And that means that the total number of marbles is 66.667.

Question: A high school marching band has 40 flute players, If 60 percent of the band members play the flute, then how many members are in the band?

Answer: There are 66.667 members in the band.

How To: The smaller "Part" in this problem is 40 since there are 40 flute players and we are told that they make up 60 percent of the band, so the "Percent" is 60.

Again, it's the "Total" that's missing here, and to find it, we just need to follow our 2 step procedure as the previous problem.

For step one, we multiply the "Part" by 100.

40 × 100 = 4000

For step two, we divide that 4000 by the "Percent", which is 60.

4000 divided by 60 equals 66.667

That means that the total number of band members is 66.667.

## Another step by step method

Step 1: Let's assume the unknown value is Y

Step 2: First writing it as: 100% / Y = 60% / 40

Step 3: Drop the percentage marks to simplify your calculations: 100 / Y = 60 / 40

Step 4: Multiply both sides by Y to move Y on the right side of the equation: 100 = ( 60 / 40 ) Y

Step 5: Simplifying the right side, we get: 100 = 60 Y

Step 6: Dividing both sides of the equation by 60, we will arrive at 66.667 = Y

This leaves us with our final answer: 40 is 60 percent of 66.667

## Percentage Table

 40 is 60 percent of 66.667 40.01 is 60 percent of 66.683 40.02 is 60 percent of 66.7 40.03 is 60 percent of 66.717 40.04 is 60 percent of 66.733 40.05 is 60 percent of 66.75 40.06 is 60 percent of 66.767 40.07 is 60 percent of 66.783 40.08 is 60 percent of 66.8 40.09 is 60 percent of 66.817 40.1 is 60 percent of 66.833 40.11 is 60 percent of 66.85 40.12 is 60 percent of 66.867 40.13 is 60 percent of 66.883 40.14 is 60 percent of 66.9 40.15 is 60 percent of 66.917 40.16 is 60 percent of 66.933 40.17 is 60 percent of 66.95 40.18 is 60 percent of 66.967 40.19 is 60 percent of 66.983
 40.2 is 60 percent of 67 40.21 is 60 percent of 67.017 40.22 is 60 percent of 67.033 40.23 is 60 percent of 67.05 40.24 is 60 percent of 67.067 40.25 is 60 percent of 67.083 40.26 is 60 percent of 67.1 40.27 is 60 percent of 67.117 40.28 is 60 percent of 67.133 40.29 is 60 percent of 67.15 40.3 is 60 percent of 67.167 40.31 is 60 percent of 67.183 40.32 is 60 percent of 67.2 40.33 is 60 percent of 67.217 40.34 is 60 percent of 67.233 40.35 is 60 percent of 67.25 40.36 is 60 percent of 67.267 40.37 is 60 percent of 67.283 40.38 is 60 percent of 67.3 40.39 is 60 percent of 67.317
 40.4 is 60 percent of 67.333 40.41 is 60 percent of 67.35 40.42 is 60 percent of 67.367 40.43 is 60 percent of 67.383 40.44 is 60 percent of 67.4 40.45 is 60 percent of 67.417 40.46 is 60 percent of 67.433 40.47 is 60 percent of 67.45 40.48 is 60 percent of 67.467 40.49 is 60 percent of 67.483 40.5 is 60 percent of 67.5 40.51 is 60 percent of 67.517 40.52 is 60 percent of 67.533 40.53 is 60 percent of 67.55 40.54 is 60 percent of 67.567 40.55 is 60 percent of 67.583 40.56 is 60 percent of 67.6 40.57 is 60 percent of 67.617 40.58 is 60 percent of 67.633 40.59 is 60 percent of 67.65
 40.6 is 60 percent of 67.667 40.61 is 60 percent of 67.683 40.62 is 60 percent of 67.7 40.63 is 60 percent of 67.717 40.64 is 60 percent of 67.733 40.65 is 60 percent of 67.75 40.66 is 60 percent of 67.767 40.67 is 60 percent of 67.783 40.68 is 60 percent of 67.8 40.69 is 60 percent of 67.817 40.7 is 60 percent of 67.833 40.71 is 60 percent of 67.85 40.72 is 60 percent of 67.867 40.73 is 60 percent of 67.883 40.74 is 60 percent of 67.9 40.75 is 60 percent of 67.917 40.76 is 60 percent of 67.933 40.77 is 60 percent of 67.95 40.78 is 60 percent of 67.967 40.79 is 60 percent of 67.983
 40.8 is 60 percent of 68 40.81 is 60 percent of 68.017 40.82 is 60 percent of 68.033 40.83 is 60 percent of 68.05 40.84 is 60 percent of 68.067 40.85 is 60 percent of 68.083 40.86 is 60 percent of 68.1 40.87 is 60 percent of 68.117 40.88 is 60 percent of 68.133 40.89 is 60 percent of 68.15 40.9 is 60 percent of 68.167 40.91 is 60 percent of 68.183 40.92 is 60 percent of 68.2 40.93 is 60 percent of 68.217 40.94 is 60 percent of 68.233 40.95 is 60 percent of 68.25 40.96 is 60 percent of 68.267 40.97 is 60 percent of 68.283 40.98 is 60 percent of 68.3 40.99 is 60 percent of 68.317